You can put this solution on YOUR website! Solve the linear equation for x in terms of y (or the other way around if you want); substitute this into the conic section equation, and simplify. You are looking to solve a quadratic equation in ONE variable which may have two solutions, or possibly one solution. Can you do this without more help?
"No."
---Use this in the quadratic equation and again later after finding values for y.
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The substitution:
...combine like terms and simplify ... ---- you could try to factor this, but much easier to use the general solution to a quadratic equation.
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Discriminant is
The solution will contain an Imaginary component. The discriminant is less than zero.
! you would expect the two graphs to share not any points; no intersections.
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Another try done on paper but solving first for x instead of y in the linear equation and then substituting, gave me after simplifications, ;
and the discriminant, "b^2-4*a*c", is , a value less than zero. This again means that the solution for x will contain an Imaginary component. The given conic section and the given line DO NOT INTERSECT!
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